Math Problem Statement

From this density, the probability that X is at least 0.88 is:

Solution

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Math Problem Analysis

Mathematical Concepts

Probability Theory
Probability Density Functions
Continuous Random Variables

Formulas

P(X ≥ 0.88) = 1 - F(0.88) where F(x) is the Cumulative Distribution Function (CDF)
If X is normally distributed, Z = (X - μ) / σ

Theorems

Fundamental Theorem of Probability
Normal Distribution Theorem
Law of Total Probability

Suitable Grade Level

Grades 10-12